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Finding the Third Proportional to 77,715.75 and 118,092.75

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Solution

The third proportional to 77,715.75 and 118,092.75 is: 179,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,715.75 : 118,092.75 = 118,092.75 : x
  2. Step 2: Convert to fraction form
    77,715.75/118,092.75 = 118,092.75/x
  3. Step 3: Cross multiply
    77,715.75x = 118,092.75 × 118,092.75
  4. Step 4: Simplify right side
    77,715.75x = 13,945,897,602.56
  5. Step 5: Solve for x
    x = 13,945,897,602.56/77,715.75
  6. Step 6: Final answer
    x = 179,447.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.